Exercise gradient curved graph

Lesson 18.6
18.6 Finding the gradient of a curve

Cambridge IGCSE Mathematics 0580
Chapter 18. Curve Graphs

​Objectives:
By the end of this lesson, students should be able to estimate the gradient of a curve by drawing a tangent to the curve

Definition

Gradident is The steepness of a line.

Multiple Choice

Which image shows the correct tangent at the point on the curve marked by a dot?

Multiple Choice

Use the graph to complete this working out to find the gradient of the curve at point B:

• -10
• 10

• 0.1

• -0.1

Multiple Choice

Which of these is the gradient at point B on this curve?

• -12.2

• -0.08

• 0.08

Multiple Choice

Which of these is the gradient at point C on this curve?

• –13.75

• 24.2

• 19.6

Multiple Choice

at which points will the curve have a gradient of 0?

• A

• B

• C

• D

Fill in the Blanks

Multiple Choice

At which one of these points will the curve have a gradient of –7?

• A

• B

• D

Multiple Choice

Which of these is the gradient at point A on this curve?

• 0.05

• 13.45

• 21.7